2126528640 has 640 divisors, whose sum is σ = 8530790400. Its totient is φ = 501645312.

The previous prime is 2126528567. The next prime is 2126528647. The reversal of 2126528640 is 468256212.

It is a happy number.

2126528640 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 5 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2126528595 and 2126528604.

It is not an unprimeable number, because it can be changed into a prime (2126528647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16744257 + ... + 16744383.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 2^2126528640 is an apocalyptic number.

2126528640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265395200).

2126528640 is an abundant number, since it is smaller than the sum of its proper divisors (6404261760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2126528640 is a wasteful number, since it uses less digits than its factorization.

2126528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2126528640 is about 46114.2997344641. The cubic root of 2126528640 is about 1285.9490009582.

The spelling of 2126528640 in words is "two billion, one hundred twenty-six million, five hundred twenty-eight thousand, six hundred forty".